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Finding the Fourth Proportional to 180,408.22, 270,613.50 and 47,287.34

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Solution

The fourth proportional to 180,408.22, 270,613.50 and 47,287.34 is: 70,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,408.22 : 270,613.50 = 47,287.34 : x
  2. Step 2: Convert to fraction form
    180,408.22/270,613.50 = 47,287.34/x
  3. Step 3: Cross multiply
    180,408.22x = 270,613.50 × 47,287.34
  4. Step 4: Simplify right side
    180,408.22x = 12,796,592,583.09
  5. Step 5: Solve for x
    x = 12,796,592,583.09/180,408.22
  6. Step 6: Final answer
    x = 70,931.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.